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Transformationshard
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Consider the transformation f(x,y)=(x+y,x−y)f(x, y) = (x+y, x-y)f(x,y)=(x+y,x−y). If this is applied to a rectangle with vertices (0,0),(2,0),(2,1),(0,1)(0,0), (2,0), (2,1), (0,1)(0,0),(2,0),(2,1),(0,1), what is the area of the resulting parallelogram?